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Simplifying 5x2 + 2x + 3 = 0 Reorder the terms: 3 + 2x + 5x2 = 0 Solving 3 + 2x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.6 + 0.4x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.4x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.4x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.4x + x2 = 0 + -0.6 0.4x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.4x + x2 = -0.6 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -0.6 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -0.6 + 0.04 Combine like terms: -0.6 + 0.04 = -0.56 0.04 + 0.4x + x2 = -0.56 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -0.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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